Have you heard of the National Young Mathematicians' Award (NYMA)? If not, you can find out more here.
Bernard, one of the members of the NRICH team, creates the brain-stretching activities used in the NYMA. In this feature, we have gathered together some tasks which will help you 'limber up' for the main NYMA tasks. Have a go at these tricky challenges and see how you get on ...
Bernard, one of the members of the NRICH team, creates the brain-stretching activities used in the NYMA. In this feature, we have gathered together some tasks which will help you 'limber up' for the main NYMA tasks. Have a go at these tricky challenges and see how you get on ...

problem
Inside triangles
How many different triangles can you draw which each have one dot in the middle?

problem
Lots of lollies
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

problem
Start cube drilling
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

problem
Odd times even
This problem looks at how one example of your choice can show something about the general structure of multiplication.